Modal Combination Rule for Shock Spectrum Analysis of Bridge Structures Subjected to Barge Collisions
Publication: Journal of Engineering Mechanics
Volume 142, Issue 2
Abstract
Owing to the differences between earthquake excitations and barge impact loads, the modal combination rules [e.g., square root of the sum of the squares (SRSS)] commonly used in seismic analysis are not appropriate for the shock spectrum analysis (SSA) technique of barge-bridge collisions. For this reason, this paper aims to develop a specialized and reasonable combination rule for the SSA method. A parametric study is first carried out to explore the modal response characteristics of bridge structures subjected to barge impact loading. It is found that the time instant () corresponding to the peak value of the combined (total) dynamic response can be approximately predicted by analyzing the limited modal responses. The approximate equations are developed to predict the time instant for four different cases. On the basis of the estimated time instant, a new modal combination rule, called weighted algebraic sum (WAS), is proposed for the SSA method of barge-bridge collisions. The collision-induced peak responses of bridge structures derived from the SSA method with either WAS or SRSS are compared with those determined by the direct dynamic analysis technique. It is demonstrated that the WAS rule is more accurate in the barge-bridge collision spectrum analysis, particularly for the moderate- and high-energy impact events, whereas the SRSS rule is not recommended because of its lower accuracy. Also, the results obtained using the weighted function of cosine are slightly superior to those obtained using sine functions for the WAS rule.
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Acknowledgments
This research is supported by the National Natural Science Foundation of China (Grant Nos. 51308202 and 51408208), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20130161120026), Hunan Provincial Natural Science Foundation of China (Grant No. 14JJ3056), and the Fundamental Research Funds for the Central Universities of China. The authors would like to thank Professor Lu Deng (Hunan University) and Dr. Bo Chen (Central South University) for their constructive suggestions to improve the quality of the article.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 2 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Nov 22, 2014
Accepted: Jul 21, 2015
Published online: Sep 7, 2015
Published in print: Feb 1, 2016
Discussion open until: Feb 7, 2016
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